Question $44$: SCR$24\text{'}$s manager is planning to implement a Kanban system for an assembly process. The part produced in the target process has a demand of $75$ units per hour, and the Manufacturing Lead Time $($MLT$)$ for the process is $0\mathrm{.}6$ days. The factory operates two $8\mathrm{.}5-$hour shifts per day. with a $30-$minute break per shift. Assuming a safety stock of $10\%$ and a container capacity set at $10\%$ of the daily demand. Calculate the takt time, and number of sets of Kanban cards should be authorized? $($note: assuming that production did not stop during break time$)$

$0\mathrm{.}0079$ and $7$

b$.0\mathrm{.}0083$ and $6$

$0\mathrm{.}0102$ and $7$

$($d$)0\mathrm{.}0069$ and $6$